# Questions tagged [homework]

Homework questions are welcome, as long as they are asked honestly, explain the problem, and show sufficient effort. Please do not use this as the only tag for a question. Please do not add this tag to questions by other people unless they explicitly say that their question is part of their homework.

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4answers
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### Finding unit tangent, normal, and binormal vectors for a given r(t)

For my Calc III class, I need to find $T(t), N(t)$, and $B(t)$ for $t=1, 2$, and $-1$, given $r(t)=\{t,t^2,t^3\}$. I've got Mathematica, but I've never used it before and I'm not sure how to coerce ...
2answers
2k views

### Using the epsilon tensor in Mathematica

I'm having a great deal of trouble getting started on a weekly homework assignment in Mathematica. The assignment requires we use the epsilon tensor which is apparently built into Mathematica as ...
8answers
4k views

### How to make a resizable chess board?

For some reason I need to create a chess board. I can create a chess board by following command: ...
2answers
547 views

1answer
291 views

### How to solve Laplace transform question for a system in Mathematica

I know how to use the LaplaceTransform function but am struggling to do this with a system with two ODEs. This is my question: Use Mathematica and the Laplace ...
1answer
196 views

### Using a numerical solver to solve a system of ODEs [closed]

Consider the competition model defined by dx/dt = x (2 − 0.4 x − 0.3 y) dy/dt = y (1 − 0.1 y − 0.3 x) Where the population x(t) and y(t) are measured in the thousands and t in years. Use a ...
2answers
369 views

### Plotting the solutions of $y' = -\frac{\cos y}{\sin x}$

I struggle with the problem of plotting the solution of this ODE: $\qquad y' = -\frac{\cos y}{\sin x}$ I've already tried to use ContourPlot in a loop and in a ...
2answers
360 views

### Least Square Fitting

stuck on a mathematica assignment and could really use some help. A) Fit a function with the shape log(Y) = a0 + a1log(U) to the datapoints (log(Ui), log(Yi) with an least square fitting. Show this ...
4answers
469 views

### Print all numbers from a sequence which don't contain the digit 7

so i have this: Cases[RecurrenceTable[{a[n + 1] == 7 a[n] + n, a == 1}, a, {n, 7}], Except] But i noticed that it will only exclude numbers that are 7, and ...
1answer
236 views

### How can I use Histogram and Histogram3D on an image?

I have a .jpg image named r. I am using the following code to plot a histogram: ...
1answer
444 views

### How can I make a pretzel shape using Bézier curves?

I am trying to make a pretzel shape,but I cannot seem to get the loops even. Eventually, I need to make the pretzel shape loop in 3D so I need to nail the 2D concept first. Here's what I have so far....
3answers
504 views

### Area of volume of revolution

I want to calculate the exact area of this volume: RevolutionPlot3D[ f[x_] = Sqrt[28 x] , {x, 0, 21} , Axes -> True ] Additionally, I wish to see $x$ and \$...
3answers
1k views

### draw part of parabola using graphics

Today, I was doing my physics homework. One of the questions was to draw velocity-time and position-time graphs from the acceleration-time graph. So for the first step I draw acceleration-time using <...
2answers
77 views

### Inserting an integer into a list while maintaining descending order

Define a function g with two arguments, w and n, where w ...
2answers
427 views

### local variable naming & symbolic argument

I'm stuck here with my variable assignment in this scenario ...
2answers
223 views

### Is there a way to select the highest exponent of a polynomial expression?

I have a problem to program a particular kind of expression: Sum[1/(k n) (HS[t^k,x^k])^n,{n,1,Infinity},{k,1,Infinity}] where HS[t_,x_] is a polynomial function ...
1answer
685 views

### Frequency of elements in a list (merging tally data) [duplicate]

I've got a list in the format of list={{a,1},{a,1},{b,1},{c,1},{b,1}} And I want it to "compress" into a list of pairs ...
2answers
193 views

### Fraction of fibers that have failed

I have the following to set into mathematica. Assume a stress(sigma) applied on a specimen which has a number of fibers within it. All fibers that have a strength less than the applied stress should ...
1answer
150 views

### calling multiple functions in manipulate [closed]

Continuation Manipulate function to generate outliers I want to call a function in the manipulate environment so that the changing data is fed to another function and both the plots are plotted in a ...